Formula:9637

Digital Library of Mathematical Functions ID 30.15.E3

${\displaystyle{\displaystyle\int_{-\tau}^{\tau}\frac{\sin\sigma(t-s)}{\pi(t-s)}\phi_{n}(s)\mathrm{d}s=\Lambda_{n}\phi_{n}(t).}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle n\geq m}}$: integer degree
• ${\displaystyle{\displaystyle\tau>0}}$: parameter
• ${\displaystyle{\displaystyle\sigma>0}}$: parameter
• ${\displaystyle{\displaystyle\phi_{n}(t)}}$: function (locally)
• ${\displaystyle{\displaystyle\Lambda}}$: 30.15.E2
 

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